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Beliebt Rechnen >

derivative of 6cos(pix)

Lösung

\frac{d}{d x} (6 cos (π x))

Lösung

- 6 π sin (π x)

Schritte zur Lösung

\frac{d}{d x} (6 cos (π x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d x} (cos (π x))

Wende die Kettenregel an:

- sin (π x) \frac{d}{d x} (π x)

= - sin (π x) \frac{d}{d x} (π x)

\frac{d}{d x} (π x) = π

= 6 (- sin (π x) π)

Vereinfache

= - 6 π sin (π x)

Graph

Beliebte Beispiele

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